25743700130625 has 45 divisors (see below), whose sum is σ = 46467493524309. Its totient is φ = 13729770450000.

The previous prime is 25743700130611. The next prime is 25743700130633. The reversal of 25743700130625 is 52603100734752.

The square root of 25743700130625 is 5073825.

It is a perfect power (a square), and thus also a powerful number.

25743700130625 is a `hidden beast` number, since 2 + 5 + 7 + 4 + 3 + 7 + 0 + 0 + 13 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2018306090241 + 23725394040384 = 1420671^2 + 4870872^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 25743700130625 - 2³¹ = 25741552646977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 380503050 + ... + 380570700.

Almost surely, 2^{25743700130625} is an apocalyptic number.

25743700130625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25743700130625 is the 5073825-th square number.

25743700130625 is the 2536913-rd centered octagonal number.

It is an amenable number.

25743700130625 is a deficient number, since it is larger than the sum of its proper divisors (20723793393684).

25743700130625 is an frugal number, since it uses more digits than its factorization.

25743700130625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135328 (or 67659 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 25743700130625 in words is "twenty-five trillion, seven hundred forty-three billion, seven hundred million, one hundred thirty thousand, six hundred twenty-five".